Q. No.The surface tension of a soap bubble is \(0.03~\text{N/m}.\) The work done in increasing the diameter of bubble from \(2~\text{cm}\) is \(\alpha \pi \times 10^{-4} ~\text{J} .\) The value of \(\alpha\) is: (Take \(\pi =3.14\))
1. \(0.86\)
2. \(0.64\)
3. \(1.92\)
4. \(7.68\)
1. \(0.86\)
2. \(0.64\)
3. \(1.92\)
4. \(7.68\)
Subtopic: Surface Tension |
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Level 2: 60%+
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A liquid drop of diameter \(2~\text{mm}\) breaks into \(512\) droplets. The change in surface energy is \(\alpha\times10^{-6}~\text{J}\). The value of \(\alpha\) is: (take surface tension of liquid =\(~0.08~\text{N/m}\))
1. \(10\)
2. \(7\)
3. \(8\)
4. \(11\)
1. \(10\)
2. \(7\)
3. \(8\)
4. \(11\)
Subtopic: Surface Tension |
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Level 2: 60%+
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Eight mercury drops, each of radius \(r\), coalesce to form bigger drop. The surface energy released in this process is: (\(S\) is the surface tension of mercury).
1. \(8 \pi r^2 {S}\)
2. \(16 \pi r^2 S\)
3. \(64 \pi r^2 {S}\)
4. \(4 \pi r^2 S\)
1. \(8 \pi r^2 {S}\)
2. \(16 \pi r^2 S\)
3. \(64 \pi r^2 {S}\)
4. \(4 \pi r^2 S\)
Subtopic: Surface Tension |
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The surface tension of a soap solution is \(3.5\times 10^{-2}~\text{N/m} \). The work required to increase the radius of a soap bubble from \(1~\text{cm}\) to \(2~\text{cm}\) is \(\alpha\times10^{-6}~\text{J}\). The value of \(\alpha\) is:
\((\pi=22 / 7)\)
1. \(300\)
2. \(264\)
3. \(500\)
4. \(900\)
\((\pi=22 / 7)\)
1. \(300\)
2. \(264\)
3. \(500\)
4. \(900\)
Subtopic: Surface Tension |
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A soap bubble of surface tension \(0.04~\text{N/m}\) is blown to a diameter of \(7~\text{cm}.\) If \((1500~-x)~\mu\text{J}\) of work is done in blowing it further to make its diameter \(14~\text{cm}\), then the value of \(x\) is: \((\pi=22 / 7)\)
1. \(10000\)
2. \(11304\)
3. \(14000\)
4. \(15000\)
1. \(10000\)
2. \(11304\)
3. \(14000\)
4. \(15000\)
Subtopic: Surface Tension |
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Level 2: 60%+
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The excess pressure inside a soap bubble \(A\) in air is half the excess pressure inside another soap bubble \(B\) in air. If the volume of the bubble \(A\) is \(𝑛\) times the volume of the bubble \(B\), then, the value of \(n\) is:
1. \(10\)
2. \(8\)
3. \(16\)
4. \(30\)
1. \(10\)
2. \(8\)
3. \(16\)
4. \(30\)
Subtopic: Surface Tension |
Level 4: Below 35%
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Two water drops each of radius \(r \) coalesce to form a bigger drop. If \(T\) is the surface tension, the surface energy released in this process is:
1. \(4 \pi r^2 { T}\left[2-2^{1 / 3}\right] \)
2. \(4 \pi r^2 T[1+\sqrt 2] \)
3. \(4 \pi r^2 { T}[\sqrt 2-1] \)
4. \(4 \pi r^2 { T}\left[2-2^{2 / 3}\right] \)
1. \(4 \pi r^2 { T}\left[2-2^{1 / 3}\right] \)
2. \(4 \pi r^2 T[1+\sqrt 2] \)
3. \(4 \pi r^2 { T}[\sqrt 2-1] \)
4. \(4 \pi r^2 { T}\left[2-2^{2 / 3}\right] \)
Subtopic: Surface Tension |
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An air bubble of radius \(1.0~\text{mm}\) is observed at a depth of \(20~\text{cm}\) below the free surface of a liquid having surface tension \(0.095 \text { J/m}^2 \) and density \(10^3.\) The difference between pressure inside the bubble and atmospheric pressure is: _____ \(\text {N/m}^2.\)
1. \(2195~\text {N/m}^2\)
2. \(2186~\text {N/m}^2\)
3. \(2182~\text {N/m}^2\)
4. \(2190~\text {N/m}^2\)
1. \(2195~\text {N/m}^2\)
2. \(2186~\text {N/m}^2\)
3. \(2182~\text {N/m}^2\)
4. \(2190~\text {N/m}^2\)
Subtopic: Surface Tension |
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Level 2: 60%+
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An air bubble of radius \(0.1~ \text {cm}\) lies at a depth of \(20~ \text {cm}\) below the free surface of a liquid of density \(1000~\text{ kg/m}^3.\) If the pressure inside the bubble is \(2100 ~\text {N/m}^2 \) greater than the atmospheric pressure, then the surface tension of the liquid in \(\text{SI}\) unit is (use \(g = 10 \text {m/s}^2)\)
1. \(0.02\)
2. \(0.25\)
3. \(0.05\)
4. \(0.1\)
1. \(0.02\)
2. \(0.25\)
3. \(0.05\)
4. \(0.1\)
Subtopic: Surface Tension |
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Level 1: 80%+
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Given below are two statements:
| Statement I : | The hot water flows faster than cold water |
| Statement II: | Soap water has higher surface tension as compared to fresh water. In the light above statements, choose the correct answer from the options given below |
| 1. | Statement I is true but Statement II is false |
| 2. | Both Statement I and Statement II are false |
| 3. | Statement I is false but Statement II is true |
| 4. | Both Statement I and Statement II are true. |
Subtopic: Surface Tension |
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Level 3: 35%-60%
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